Question

rationalise denominator 5/7+✓6​

Answer 1

Answer

\begin{gathered} \frac{ \sqrt{7} }{ \sqrt{5} - \sqrt{6} } \\now \: we \: multiply \: by \: denomenator \: in \: \\ both \: numerator \: and \: denomenator \\ \frac{ \sqrt{7} }{( \sqrt{5} - \sqrt{6} )} \times \frac{ \sqrt{5 } + \sqrt{6} }{ \sqrt{5} + \sqrt{6} } \\ \frac{ \sqrt{7 } \times ( \sqrt{5} + \sqrt{6} )}{( \sqrt{5} - \sqrt{6} )( \sqrt{5} + \sqrt{6} ) } \\ \frac{ \sqrt{35} + \sqrt{42} }{(5 - 6 )} \\ \frac{ \sqrt{35} + \sqrt{42} }{(-1)} \: \: answer \: \end{gathered}

5

−

6

7

nowwemultiplybydenomenatorin

bothnumeratoranddenomenator

(

5

−

6

)

7

×

5

+

6

5

+

6

(

5

−

6

)(

5

+

6

)

7

×(

5

+

6

)

(5−6)

35

+

42

(−1)

35

+

42

answer

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